The properties of fuzzy number intuitionistic fuzzy prioritized operators and their applications to multi-criteria group decision making

Abstract

This paper investigates the multi-criteria group decision making under fuzzy number intuitionistic fuzzy environment, where the criteria and the decision makers are in different priority level. We propose the non-negative score function for fuzzy number intuitionistic fuzzy number, and we present some fuzzy number intuitionistic fuzzy prioritized operators by extending the prioritized aggregation operators, including the fuzzy number intuitionistic fuzzy prioritized weighted average (FNIFPWA) operator, the fuzzy number intuitionistic fuzzy prioritized weighted geometric (FNIFPWG) operator. We also analyze some of their desirable properties in details. Furthermore, based on these operators, we develop an approach to multi-criteria group decision with fuzzy number intuitionistic fuzzy information. Finally, we give an illustrative example to show that the developed approach is feasible and effective.